Upper bounds for the height of S-integral points on elliptic curves
نویسندگان
چکیده
منابع مشابه
Computing S-Integral Points on Elliptic Curves
1. Introduction. By a famous theorem of Siegel [S], the number of integral points on an elliptic curve E over an algebraic number field K is finite. A conjecture of Lang and Demyanenko (see [L3], p. 140) states that, for a quasiminimal model of E over K, this number is bounded by a constant depending only on the rank of E over K and on K (see also [HSi], [Zi4]). This conjecture was proved by Si...
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By a famous theorem of Siegel [S], the number of integral points on an elliptic curve E over an algebraic number field K is finite. A conjecture of Lang and Demjanenko [L3] states that, for a quasiminimal model of E over K, this number is bounded by a constant depending only on the rank of E over K and on K (see also [HSi], [Zi4]). This conjecture was proved by Silverman [Si1] for elliptic curv...
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ژورنال
عنوان ژورنال: The Ramanujan Journal
سال: 2013
ISSN: 1382-4090,1572-9303
DOI: 10.1007/s11139-012-9440-4